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As an alternative to synthetic control, the distributional Synthetic Control (DSC) proposed by Gunsilius (2023) provides estimates for quantile treatment effect and thus enabling researchers to comprehensively understand the impact of…

Econometrics · Economics 2026-05-12 Lu Zhang , Xiaomeng Zhang , Xinyu Zhang

Synthetic Control Methods (SCMs) have become a fundamental tool for comparative case studies. The core idea behind SCMs is to estimate treatment effects by predicting counterfactual outcomes for a treated unit using a weighted combination…

Econometrics · Economics 2025-11-10 Masahiro Kato , Akari Ohda

We consider the asymptotic properties of the Synthetic Control (SC) estimator when both the number of pre-treatment periods and control units are large. If potential outcomes follow a linear factor model, we provide conditions under which…

Econometrics · Economics 2020-05-27 Bruno Ferman

Mixed-frequency data, where variables are observed at different temporal resolutions, commonly occur in economic and financial studies. Classical synthetic control methods (SCM) are ill-suited for such data, often necessitating aggregation…

Methodology · Statistics 2026-05-13 Lu Zhang , Shijin Gong , Xinyu Zhang

Estimating weights in the synthetic control method, typically resulting in sparse weights where only a few control units have non-zero weights, involves an optimization procedure that selects and combines control units to closely match the…

Econometrics · Economics 2026-02-03 Rong J. B. Zhu

The synthetic control method (SCM) is a popular approach for estimating the impact of a treatment on a single unit in panel data settings. The "synthetic control" is a weighted average of control units that balances the treated unit's…

Methodology · Statistics 2020-07-24 Eli Ben-Michael , Avi Feller , Jesse Rothstein

The synthetic control method (SCM) estimates causal effects in panel data with a single-treated unit by constructing a counterfactual outcome as a weighted combination of untreated control units that matches the pre-treatment trajectory. In…

Machine Learning · Statistics 2026-05-13 Yuxin Wang , Dennis Frauen , Emil Javurek , Konstantin Hess , Yuchen Ma , Stefan Feuerriegel

The synthetic control method (SCM) is a popular approach for estimating the impact of a treatment on a single unit with panel data. Two challenges arise with higher frequency data (e.g., monthly versus yearly): (1) achieving excellent…

Econometrics · Economics 2024-04-16 Liyang Sun , Eli Ben-Michael , Avi Feller

We analyze the properties of the Synthetic Control (SC) and related estimators when the pre-treatment fit is imperfect. In this framework, we show that these estimators are generally biased if treatment assignment is correlated with…

Econometrics · Economics 2021-01-13 Bruno Ferman , Cristine Pinto

Staggered adoption of policies by different units at different times creates promising opportunities for observational causal inference. Estimation remains challenging, however, and common regression methods can give misleading results. A…

Methodology · Statistics 2021-01-19 Eli Ben-Michael , Avi Feller , Jesse Rothstein

To estimate the causal effect of an intervention, researchers need to identify a control group that represents what might have happened to the treatment group in the absence of that intervention. This is challenging without a randomized…

Methodology · Statistics 2026-03-20 Robert Pickett , Jennifer Hill , Sarah Cowan

We analyze the synthetic control (SC) method in panel data settings with many units. We assume the treatment assignment is based on unobserved heterogeneity and pre-treatment information, allowing for both strictly and sequentially…

Econometrics · Economics 2023-12-27 Dmitry Arkhangelsky , David Hirshberg

A common approach to constructing a Synthetic Control unit is to fit on the outcome variable and covariates in pre-treatment time periods, but it has been shown by Ferman and Pinto (2019) that this approach does not provide asymptotic…

Econometrics · Economics 2024-03-07 Joseph Fry

The synthetic control method is a an econometric tool to evaluate causal effects when only one unit is treated. While initially aimed at evaluating the effect of large-scale macroeconomic changes with very few available control units, it…

Synthetic control methods are widely used to estimate the treatment effect on a single treated unit in time-series settings. A common approach to estimate synthetic control weights is to regress the treated unit's pre-treatment outcome and…

Methodology · Statistics 2025-03-06 Chan Park , Eric Tchetgen Tchetgen

The synthetic control (SC) method is a popular approach for estimating treatment effects from observational panel data. It rests on a crucial assumption that we can write the treated unit as a linear combination of the untreated units. This…

Methodology · Statistics 2023-02-27 Achille Nazaret , Claudia Shi , David M. Blei

We propose a sensitivity analysis for Synthetic Control (SC) treatment effect estimates to interrogate the assumption that the SC method is well-specified, namely that choosing weights to minimize pre-treatment prediction error yields…

Econometrics · Economics 2021-02-23 Billy Ferguson , Brad Ross

Synthetic Control methods have recently gained considerable attention in applications with only one treated unit. Their popularity is partly based on the key insight that we can predict good synthetic counterfactuals for our treated unit.…

Econometrics · Economics 2025-07-15 Tzvetan Moev

The synthetic control method (SCM) is a widely used tool for evaluating causal effects of policy changes in panel data settings. Recent studies have extended its framework to accommodate complex outcomes that take values in metric spaces,…

Methodology · Statistics 2026-01-13 Ryo Okano , Daisuke Kurisu

The synthetic control method (SCM) is widely used for constructing the counterfactual of a treated unit based on data from control units in a donor pool. Allowing the donor pool contains more control units than time periods, we propose a…

Econometrics · Economics 2026-05-19 Chengwang Liao , Zhentao Shi , Yapeng Zheng
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